Pith Number

pith:AVNZTOPY

pith:2008:AVNZTOPYJR5YVV3YHM7LSIRXFD

not attested not anchored not stored refs pending

Superconnections and Index Theory

Alexander Kahle

arxiv:0810.0820 v2 · 2008-10-05 · math.DG · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVNZTOPYJR5YVV3YHM7LSIRXFD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:23:13.502392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

055b99b9f84c7b8ad7783b3eb9223728ee6e72743e2ee45138858df8f8ac4603

Aliases

arxiv: 0810.0820 · arxiv_version: 0810.0820v2 · doi: 10.48550/arxiv.0810.0820 · pith_short_12: AVNZTOPYJR5Y · pith_short_16: AVNZTOPYJR5YVV3Y · pith_short_8: AVNZTOPY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AVNZTOPYJR5YVV3YHM7LSIRXFD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 055b99b9f84c7b8ad7783b3eb9223728ee6e72743e2ee45138858df8f8ac4603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8872af039f128af3d554f05acda7adccd23a129a64d0346a44a17e466da41433",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-10-05T12:48:41Z",
    "title_canon_sha256": "3943d2c884a60d070b97a638b8f7a8d3170efaccc58a47739ba30275683609cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0820",
    "kind": "arxiv",
    "version": 2
  }
}